IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v158y2018icp1001-1016.html
   My bibliography  Save this article

Convexification for natural gas transmission networks optimization

Author

Listed:
  • Liang, Yingzong
  • Hui, Chi Wai

Abstract

Natural gas transmission is energy consuming due to significant pressure loss during the transportation process. Despite considerable effort to reduce its energy consumption in optimization study, the nonconvex behavior of mathematical models, mainly resulted from nonconvex pressure drop constraints, have made the problem challenging to tackle. To address this issue, this paper presents two convex formulation techniques to convexify the pressure drop constraints. The techniques use logical constraints to handle unknown gas flow direction to avoid absolute values and bilinear terms in the constraints. Modeling techniques are also presented to reformulate nonconvex compressor constraints into convex/concave ones. The proposed techniques are applied to two different scale natural gas transmission networks. Computational results suggest that the convexification relieves the models from local optima, and greatly improves solution quality and solution efficiency.

Suggested Citation

  • Liang, Yingzong & Hui, Chi Wai, 2018. "Convexification for natural gas transmission networks optimization," Energy, Elsevier, vol. 158(C), pages 1001-1016.
    • Handle: RePEc:eee:energy:v:158:y:2018:i:c:p:1001-1016
    DOI: 10.1016/j.energy.2018.06.107
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544218311721
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2018.06.107?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gilbert, Alexander Q. & Sovacool, Benjamin K., 2017. "Benchmarking natural gas and coal-fired electricity generation in the United States," Energy, Elsevier, vol. 134(C), pages 622-628.
    2. Tesch, Stefanie & Morosuk, Tatiana & Tsatsaronis, George, 2016. "Advanced exergy analysis applied to the process of regasification of LNG (liquefied natural gas) integrated into an air separation process," Energy, Elsevier, vol. 117(P2), pages 550-561.
    3. Shiono, Naoshi & Suzuki, Hisatoshi, 2016. "Optimal pipe-sizing problem of tree-shaped gas distribution networks," European Journal of Operational Research, Elsevier, vol. 252(2), pages 550-560.
    4. De Wolf, D. & Smeers, Y., 1996. "Optimal dimensioning of pipe networks with application to gas transmission networks," LIDAM Reprints CORE 1249, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Chong, Zheng Rong & Yang, She Hern Bryan & Babu, Ponnivalavan & Linga, Praveen & Li, Xiao-Sen, 2016. "Review of natural gas hydrates as an energy resource: Prospects and challenges," Applied Energy, Elsevier, vol. 162(C), pages 1633-1652.
    6. Frédéric Babonneau & Yurii Nesterov & Jean-Philippe Vial, 2012. "Design and Operations of Gas Transmission Networks," Operations Research, INFORMS, vol. 60(1), pages 34-47, February.
    7. Roger Ríos-Mercado & Suming Wu & L. Scott & E. Boyd, 2002. "A Reduction Technique for Natural Gas Transmission Network Optimization Problems," Annals of Operations Research, Springer, vol. 117(1), pages 217-234, November.
    8. Luis Contesse & Juan Ferrer & Sergio Maturana, 2005. "A Mixed-Integer Programming Model for Gas Purchase and Transportation," Annals of Operations Research, Springer, vol. 139(1), pages 39-63, October.
    9. DE WOLF, Daniel & SMEERS, Yves, 2000. "The gas transmission problem solved by an extension of the simplex algorithm," LIDAM Reprints CORE 1489, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Daniel de Wolf & Yves Smeers, 1996. "Optimal Dimensioning of Pipe Networks with Application to Gas Transmission Networks," Operations Research, INFORMS, vol. 44(4), pages 596-608, August.
    11. De Corte, Annelies & Sörensen, Kenneth, 2013. "Optimisation of gravity-fed water distribution network design: A critical review," European Journal of Operational Research, Elsevier, vol. 228(1), pages 1-10.
    12. B. Rothfarb & H. Frank & D. M. Rosenbaum & K. Steiglitz & D. J. Kleitman, 1970. "Optimal Design of Offshore Natural-Gas Pipeline Systems," Operations Research, INFORMS, vol. 18(6), pages 992-1020, December.
    13. Daniel De Wolf & Yves Smeers, 2000. "The Gas Transmission Problem Solved by an Extension of the Simplex Algorithm," Management Science, INFORMS, vol. 46(11), pages 1454-1465, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Emenike, Scholastica N. & Falcone, Gioia, 2020. "A review on energy supply chain resilience through optimization," Renewable and Sustainable Energy Reviews, Elsevier, vol. 134(C).
    2. Wang, Guotao & Zhao, Wei & Qiu, Rui & Liao, Qi & Lin, Zhenjia & Wang, Chang & Zhang, Haoran, 2023. "Operational optimization of large-scale thermal constrained natural gas pipeline networks: A novel iterative decomposition approach," Energy, Elsevier, vol. 282(C).
    3. Chen, Ying & Koch, Thorsten & Zakiyeva, Nazgul & Zhu, Bangzhu, 2020. "Modeling and forecasting the dynamics of the natural gas transmission network in Germany with the demand and supply balance constraint," Applied Energy, Elsevier, vol. 278(C).
    4. Wang, Bohong & Klemeš, Jiří Jaromír & Liang, Yongtu & Yuan, Meng & Zhang, Haoran & Liu, Jiayi, 2020. "Implementing hydrogen injection in coal-dominated regions: Supply chain optimisation and reliability analysis," Energy, Elsevier, vol. 201(C).
    5. Markéta Mikolajková-Alifov & Frank Pettersson & Margareta Björklund-Sänkiaho & Henrik Saxén, 2019. "A Model of Optimal Gas Supply to a Set of Distributed Consumers," Energies, MDPI, vol. 12(3), pages 1-27, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ralf Lenz & Kai Helge Becker, 2022. "Optimization of capacity expansion in potential-driven networks including multiple looping: a comparison of modelling approaches," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(1), pages 179-224, March.
    2. Daniel de Wolf, 2017. "Mathematical Properties of Formulations of the Gas Transmission Problem," Post-Print halshs-02396747, HAL.
    3. Mengying Xue & Tianhu Deng & Zuo‐Jun Max Shen, 2019. "Optimizing natural gas pipeline transmission with nonuniform elevation: A new initialization approach," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(7), pages 547-564, October.
    4. Conrado Borraz-Sánchez & Russell Bent & Scott Backhaus & Hassan Hijazi & Pascal Van Hentenryck, 2016. "Convex Relaxations for Gas Expansion Planning," INFORMS Journal on Computing, INFORMS, vol. 28(4), pages 645-656, November.
    5. Frédéric Babonneau & Yurii Nesterov & Jean-Philippe Vial, 2012. "Design and Operations of Gas Transmission Networks," Operations Research, INFORMS, vol. 60(1), pages 34-47, February.
    6. Jesco Humpola & Armin Fügenschuh, 2015. "Convex reformulations for solving a nonlinear network design problem," Computational Optimization and Applications, Springer, vol. 62(3), pages 717-759, December.
    7. Jingkuan Han & Yingjun Xu & Dingzhi Liu & Yanfang Zhao & Zhongde Zhao & Shuhui Zhou & Tianhu Deng & Mengying Xue & Junchi Ye & Zuo-Jun Max Shen, 2019. "Operations Research Enables Better Planning of Natural Gas Pipelines," Interfaces, INFORMS, vol. 49(1), pages 23-39, January.
    8. Ríos-Mercado, Roger Z. & Borraz-Sánchez, Conrado, 2015. "Optimization problems in natural gas transportation systems: A state-of-the-art review," Applied Energy, Elsevier, vol. 147(C), pages 536-555.
    9. Olivier Massol, 2011. "A Cost Function for the Natural Gas Transmission Industry: Further Considerations," The Engineering Economist, Taylor & Francis Journals, vol. 56(2), pages 95-122.
    10. Dieckhoener, Caroline, 2010. "Simulating security of supply effects of the Nabucco and South Stream projects for the European natural gas market," EWI Working Papers 2010-7, Energiewirtschaftliches Institut an der Universitaet zu Koeln (EWI), revised 21 Jan 2012.
    11. Daniel de Wolf & Yves Smeers, 2021. "Generalized derivatives of the optimal value of a linear program with respect to matrix coefficients," Post-Print halshs-02396708, HAL.
    12. Shiono, Naoshi & Suzuki, Hisatoshi, 2016. "Optimal pipe-sizing problem of tree-shaped gas distribution networks," European Journal of Operational Research, Elsevier, vol. 252(2), pages 550-560.
    13. Massol, Olivier & Tchung-Ming, Stéphane & Banal-Estañol, Albert, 2015. "Joining the CCS club! The economics of CO2 pipeline projects," European Journal of Operational Research, Elsevier, vol. 247(1), pages 259-275.
    14. Mikolajková, Markéta & Haikarainen, Carl & Saxén, Henrik & Pettersson, Frank, 2017. "Optimization of a natural gas distribution network with potential future extensions," Energy, Elsevier, vol. 125(C), pages 848-859.
    15. Jesco Humpola & Felipe Serrano, 2017. "Sufficient pruning conditions for MINLP in gas network design," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 5(1), pages 239-261, March.
    16. De Wolf, Daniel & Smeers, Yves, 2021. "Generalized derivatives of the optimal value of a linear program with respect to matrix coefficients," European Journal of Operational Research, Elsevier, vol. 291(2), pages 491-496.
    17. André, Jean & Auray, Stéphane & Brac, Jean & De Wolf, Daniel & Maisonnier, Guy & Ould-Sidi, Mohamed-Mahmoud & Simonnet, Antoine, 2013. "Design and dimensioning of hydrogen transmission pipeline networks," European Journal of Operational Research, Elsevier, vol. 229(1), pages 239-251.
    18. repec:cty:dpaper:11/03 is not listed on IDEAS
    19. Jesco Humpola & Armin Fügenschuh & Thorsten Koch, 2016. "Valid inequalities for the topology optimization problem in gas network design," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(3), pages 597-631, July.
    20. Mikolajková, Markéta & Saxén, Henrik & Pettersson, Frank, 2018. "Linearization of an MINLP model and its application to gas distribution optimization," Energy, Elsevier, vol. 146(C), pages 156-168.
    21. Shiono, Naoshi & Suzuki, Hisatoshi & Saruwatari, Yasufumi, 2019. "A dynamic programming approach for the pipe network layout problem," European Journal of Operational Research, Elsevier, vol. 277(1), pages 52-61.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:158:y:2018:i:c:p:1001-1016. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.